Mean Estimation Based on Phi-Mixing Sequences

  • Authors:
  • E. Jack Chen;W. David Kelton

  • Affiliations:
  • -;-

  • Venue:
  • SS '00 Proceedings of the 33rd Annual Simulation Symposium
  • Year:
  • 2000

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Abstract

This paper discusses implementation of two sequential procedures to construct confidence intervals for a simulation estimator of the steady-state mean of a stochastic process. Our quasi-independent-mean (QIM) methods attempt to obtain i.i.d. samples. We show that our sequential procedures give valid confidence intervals. The two assumptions required are that the stochastic-process output sequence is continuous and satisfies the phi-mixing conditions. The algorithm dynamically increases the simulation run length so that the mean estimate satisfies a pre-specified precision requirement.